GCF of 8962/512, 7271/6836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8962/512, 7271/6836 i.e 1/875008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8962/512, 7271/6836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8962/512,7271/6836?
Given fractions are 8962/512,7271/6836
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8962/512,7271/6836, numerators are 8962,7271
Denominators are 512,6836
The GCF of 8962,7271 is 1 .
LCM of 512,6836 is 875008.
The greatest common factor of 8962/512,7271/6836 = [GCF of 8962,7271]/[LCM of 512,6836]= 1/875008
Therefore, the GCF of 8962/512,7271/6836 is 1/875008.
To find the highest common factor of 8962,7271, we have to find the factors of both numbers and list the highest common factor.
The factors of 8962 are 1, 2, 4481, 8962
The factors of 7271 are 1, 11, 661, 7271
The HCF of 8962,7271 is 1.
Lets's calculate GCF of 8962,7271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8962,7271 By Matching Biggest Common Factor Method
Now, list down the factors of 8962
:1,2,4481,8962
Now, list down the factors of 7271
:1,11,661,7271
Greatest Common Factor
We found the factors 8962,7271 . The biggest common factor number is the GCF number.
So the greatest common factor 8962,7271 is 1.
Lets's calculate LCM of 512,6836
| 2 | 512, 6836 |
| 2 | 256, 3418 |
| 128, 1709 |
∴ So the LCM of the given numbers is 2 x 2 x 128 x 1709 = 875008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/875008
Therefore, the GCF of Fractions 8962/512,7271/6836 is 1/875008
Least Common Multiple of 512,6836 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 512,6836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,6836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(512,6836) x common factors =4 x 1 = 4
LCM(512,6836) = ( 512 × 6836 ) / 4
LCM(512,6836) = 3500032 / 4
LCM(512,6836) = 875008
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FAQs on GCF of Fractions of 8962/512, 7271/6836
1. What is the HCF of 8962,7271?
The HCF of 8962,7271 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8962/512, 7271/6836?
Answer: GCF of Numerators as per given numbers 8962/512, 7271/6836 is
GCF of Numerators i.e. for 8962,7271 is 1
LCM of denominators i.e. for 512,6836 is 875008.
Thus, GCF of Fractions is 1/875008.Finally, GCF of Fractions for 8962/512, 7271/6836 is 1/875008.